document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139356>Question 139356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if i have a parabola with a vertex of (4,10) and x-intercepts of 0 and 8, how do i establish the quadratic equation.  i came up with y=(x-4)squared + 10.\r<BR>\n" );
document.write( "\n" );
document.write( "Ho do you establish the \"a\" of ax squared + bx + c </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101592 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=101592\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if i have a parabola with a vertex of (4,10) and x-intercepts of 0 and 8, how do i establish the quadratic equation. i came up with y=(x-4)squared + 10. <BR>\n" );
document.write( "Ho do you establish the \"a\" of ax squared + bx + c<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "y = a(x-h)^2 + k<BR>\n" );
document.write( "Vertex = (h,k) = (4,10)<BR>\n" );
document.write( "so h=4 and k=10\r<BR>\n" );
document.write( "\n" );
document.write( "Substitute to get:<BR>\n" );
document.write( "y = a(x-4)^2 + 10<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Now use either the point (0,0) or the point (8,0) to find \"a\":<BR>\n" );
document.write( "Using 0,0 you get 0 = a*16 + 10<BR>\n" );
document.write( "a = -10/16 = -5/8<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "y = (-5/8)(x-4)^2 + 10<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );